%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SET204-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:46:56 PM UTC 2026
% Result : Unsatisfiable 3.58s 1.19s
% Output : CNFRefutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn 26 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cartesian_product3) ).
fof(f122,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property2_1) ).
fof(f123,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cross_product_property2_2) ).
tcf(c_163,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
inference(cnf_transformation,[],[f122]) ).
tcf(c_164,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
inference(cnf_transformation,[],[f123]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(ordered_pair(X0,X2),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X1,X3)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( member(X0,X2)
| ~ member(ordered_pair(X0,X1),cross_product(X2,X3)) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_188,plain,
( member(v,y)
| ~ member(ordered_pair(u,v),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[c_166]) ).
tcf(c_189,plain,
( member(u,x)
| ~ member(ordered_pair(u,v),cross_product(x,y)) ),
inference(instantiation,[status(thm)],[c_167]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i] :
( member(ordered_pair(v,X0),cross_product(y,X1))
| ~ member(v,y)
| ~ member(X0,X1) ),
inference(instantiation,[status(thm)],[c_165]) ).
tcf(c_203,plain,
( member(ordered_pair(v,u),cross_product(y,x))
| ~ member(v,y)
| ~ member(u,x) ),
inference(instantiation,[status(thm)],[c_192]) ).
tcf(c_204,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_203,c_189,c_188,c_164,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET204-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 10:15:19 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 3.58/1.19 % SZS status Started for theBenchmark.p
% 3.58/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.19
% 3.58/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.58/1.19
% 3.58/1.19 % ------ iProver source info
% 3.58/1.19
% 3.58/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.58/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.58/1.19 % git: non_committed_changes: false
% 3.58/1.19
% 3.58/1.19 % ------ Parsing...% successful
% 3.58/1.19
% 3.58/1.19
% 3.58/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.58/1.19
% 3.58/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.58/1.19
% 3.58/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.58/1.19 % ------ Proving...
% 3.58/1.19 % ------ Problem Properties
% 3.58/1.19
% 3.58/1.19 %
% 3.58/1.19 % clauses 5
% 3.58/1.19 % conjectures 2
% 3.58/1.19 % EPR 0
% 3.58/1.19 % Horn 5
% 3.58/1.19 % unary 2
% 3.58/1.19 % binary 2
% 3.58/1.19 % lits 9
% 3.58/1.19 % lits eq 0
% 3.58/1.19 % fd_pure 0
% 3.58/1.19 % fd_pseudo 0
% 3.58/1.19 % fd_cond 0
% 3.58/1.19 % fd_pseudo_cond 0
% 3.58/1.19 % AC symbols 0
% 3.58/1.19
% 3.58/1.19 % ------ Schedule dynamic 5 is on
% 3.58/1.19
% 3.58/1.19 % ------ no equalities: superposition off
% 3.58/1.19
% 3.58/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.58/1.19
% 3.58/1.19
% 3.58/1.19 % ------
% 3.58/1.19 % Current options:
% 3.58/1.19 % ------
% 3.58/1.19
% 3.58/1.19
% 3.58/1.19 %
% 3.58/1.19
% 3.58/1.19 % ------ Proving...
% 3.58/1.19 %
% 3.58/1.19
% 3.58/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 3.58/1.19
% 3.58/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.58/1.19
% 3.58/1.19
%------------------------------------------------------------------------------